Order of Matrix
What is meant by a matrix?
A “matrix” is referred to as a rectangular array of numbers that are arranged in rows and columns.
What is meant by the order of a matrix?
In a matrix, the number of rows and columns is expressed by the order of the matrix. It indicates the dimension of a matrix and also gives the number of elements in a matrix.
What is a singleton matrix?
A singleton matrix is defined as a matrix that has only one element, i.e., it has only one row and one column. So, the order of a singleton matrix is “1 × 1.”
How can we determine the number of elements from the order of the matrix?
We know that the order of a matrix is equal to the product of the number of rows and columns. So, this product gives us the number of elements in a matrix. For example, if a matrix has “m” rows and “n” columns, then the order of the matrix is said to be “m × n,” and the matrix will have “mn” elements.
Order of Matrix
Order of the matrix defines the number of rows and columns that a matrix has. In a matrix, data is arranged as an array of elements. This data is arranged in rows and columns, and the number of rows and columns any matrix has defines the Order of the matrix. Suppose any matrix has 5 rows and 3 columns then the order of the matrix is 5×3.
In this article, we will learn about the order of matrices in detail.
Table of Content
- What is Order of Matrix?
- How to Determine the Order of Matrix?
- Type of Matrices Based on Order of Matrix
- Important Points on Order of Matrix
- Solved Examples
- FAQs